Simplify this problem for me

Question

asked Sep 21, 2022 97.9k views

1 Answer

Skyp · Answer 1 · 2022-09-25T12:30:40+0000

Answer:

$\displaystyle E=e^(5x)$

Explanation:

Exponentials

Properties of exponentials:

x^ax^b=x^(a+b)

(x^a)/(x^b)=x^(a-b)

Simplify:

$\displaystyle E=(e^(-2)\cdot e^(2x+3))/(e^(1-3x))$

Multiplying in the numerator:

$\displaystyle E=(e^(-2+2x+3))/(e^(1-3x))=(e^(+2x+1))/(e^(1-3x))$

Applying the quotient:

$\displaystyle E=e^(2x+1-(1-3x))$

Operating:

$\displaystyle E=e^(2x+1-1+3x)$

Simplifying:

$\boxed{\displaystyle E=e^(5x)}$